Question

Tell which variable you would choose to eliminate when solving the system by elimination. Then solve the system by elimination. Equation 1: 2x+y=−5. Equation 2: −2x+y=8. You can eliminate [ ] by [ ]. The solution of the system is ( [ ], [ ] ).

Answer 1

x = 3/2 and y = -8.

Explanation:

Given equations are :

2x+y=−5 ....(1)

−2x+y=8 ....(2)

We need to solve the above equations.

Adding equation (1) and (2).

2x+y −2x+y=-5+8

2y = 3

x = 3/2

Put the value of x in equation (1).

`2* (3)/(2)+y=-5\\\\3+y=-5\\\\y=-5-3\\\\y=-8`

So, the solution of the above equations are x = 3/2 and y = -8.